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Finding the Fourth Proportional to 20,181.68, 30,264.84 and 9,230

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Solution

The fourth proportional to 20,181.68, 30,264.84 and 9,230 is: 13,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.68 : 30,264.84 = 9,230 : x
  2. Step 2: Convert to fraction form
    20,181.68/30,264.84 = 9,230/x
  3. Step 3: Cross multiply
    20,181.68x = 30,264.84 × 9,230
  4. Step 4: Simplify right side
    20,181.68x = 279,344,473.20
  5. Step 5: Solve for x
    x = 279,344,473.20/20,181.68
  6. Step 6: Final answer
    x = 13,841.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.